Pith Number

pith:FFKQ5Z3I

pith:2014:FFKQ5Z3IMZMEPA2TK65R32F4RG

not attested not anchored not stored refs pending

Lower bounds of the skew spectral radii and skew energy of oriented graphs

Huishu Lian, Xiaolin Chen, Xueliang Li

arxiv:1405.4972 v3 · 2014-05-20 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FFKQ5Z3IMZMEPA2TK65R32F4RG}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:49:53.411714Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29550ee768665847835357bb1de8bc89818b2243e1ba6696f9e678cd23f89232

Aliases

arxiv: 1405.4972 · arxiv_version: 1405.4972v3 · doi: 10.48550/arxiv.1405.4972 · pith_short_12: FFKQ5Z3IMZME · pith_short_16: FFKQ5Z3IMZMEPA2T · pith_short_8: FFKQ5Z3I

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/FFKQ5Z3IMZMEPA2TK65R32F4RG \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 29550ee768665847835357bb1de8bc89818b2243e1ba6696f9e678cd23f89232

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df47f8fd20704df2ad282bc5d12bd3408ae416d6d9aaceffbd75c6c64d9b4b1e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-05-20T07:09:23Z",
    "title_canon_sha256": "a4ad46221ede770e1c6d7be43401c93559f3187bc468c08dd0ca4b02f6966b6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.4972",
    "kind": "arxiv",
    "version": 3
  }
}